Opto-Electronic Science, Volume. 1, Issue 9, 220004(2022)

100 Hertz frame-rate switching three-dimensional orbital angular momentum multiplexing holography via cross convolution

Weijia Meng, Yilin Hua*, Ke Cheng, Baoli Li, Tingting Liu, Qinyu Chen, Haitao Luan, Min Gu*, and Xinyuan Fang*
Author Affiliations
  • [in Chinese]
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    Figures & Tables(4)
    The schematical diagram of the high-frame-rate information extraction from an OAM multiplexing hologram.Ten images of the Arabic numerals ranging from 0 to 9 are encoded with OAM charges ranging from –50 to 50. Different colors represent different information channels indicated by specific OAM charges. Amplitude decoding keys are loaded on the DMD sequentially with corresponding decoding OAM charge for reproduction of the images. The lower right inset represents the time sequence for obtaining each image of the Arabic numeral by switching on the corresponding decoding patterns on DMD. Acquisition of the first few significant digits of the value π is illustrated in this figure.
    The schematic diagram of the information extraction from an OAM selective hologram and an OAM multiplexing hologram via cross convolution. (a) The principle of the cross convolution theorem for an OAM selective holography. For an OAM selective holography, the image (here, a music symbol) is sampled, Fourier transformed and superposed with a specific helical phase to form an OAM selective hologram. By applying corresponding ADK on the DMD, reproduction of the image can be displayed on the imaging plane. The ADK will result in a series of images due to its spatial frequency distribution. But only when the cross convolution theorem holds, these images are separated clearly and an exclusive image with basic Gaussian pixels will appear in a specific diffraction order. (b) The encoding and decoding process of OAM multiplexing holography. For OAM multiplexing holography, various images (four letters of an alphabet) are encoded in a single hologram with four OAM information channels indicated by OAM charge of –10, –5, 5 and 10. By applying the corresponding ADKs of these information channels, the images can be reconstructed.
    Three-dimensional holography based on the cross convolution theorem. (a) The experimental setup of three-dimensional holography with an OAM selective hologram via cross convolution. Three images of the letter “I”, “P” and “C” with different z coordinates form a 3D image. They are first per-shaped with different parabolic phases and then encoded with a same OAM charge (ls = 1) in an OAM selective hologram. The lens F1, F2 and pinhole before the SLM constitute the collimation and filtering system which provide a plane wave illumination of the hologram with a finite aperture. The SLM and DMD are loaded with OAM selective hologram and corresponding ADK, respectively. They are coupled to the main optical path through two beam splitters and they meet the accurate imaging relationship through the two lenses of F3 and F4. CCD is moved to obtain the reconstructed images of the letters through the imaging lens of F5. (b) The simulation and experimental results of this holographic 3D display based on cross convolution theorem.
    A high-frame-rate information transmission example through OAM multiplexing holography based on cross convolution theorem. (a) The OAM multiplexing hologram which contains ten images of the Arabic numerals ranging from 0 to 9 encoded with OAM charges ranging from –50 to 50. (b) Sequential transmission of the first 100 significant digits of the value π through holography. (c) The individual SNRs for each image of the Arabic numeral. (d) The simulation and experimental results of holographic reconstruction of a specific image of an Arabic numeral “3”.
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    Weijia Meng, Yilin Hua, Ke Cheng, Baoli Li, Tingting Liu, Qinyu Chen, Haitao Luan, Min Gu, Xinyuan Fang. 100 Hertz frame-rate switching three-dimensional orbital angular momentum multiplexing holography via cross convolution[J]. Opto-Electronic Science, 2022, 1(9): 220004

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    Paper Information

    Category: Research Articles

    Received: Mar. 16, 2022

    Accepted: Jun. 9, 2022

    Published Online: Nov. 18, 2022

    The Author Email:

    DOI:10.29026/oes.2022.220004

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